Answer: 24°
Step-by-step explanation:
Given the following :
supplement of an angle is 42 degrees less than 3 times the complement of the angle
Let the angle = θ
Supplement of angle = 180° - θ
Complement of angle = 90° - θ
Supplement of angle is also said to be:
(3 × complement) - 42° = 3(90° - θ) - 42°
= 270° - 3θ - 42° = 228° - 3θ
Hence,
180° - θ = 228° - 3θ
Solve for θ
-θ + 3θ = 228° - 180°
2θ = 48°
θ = 48°/2
θ = 24°
